×

Fluid velocity and mass ratio identification of piezoelectric nanotube conveying fluid using inverse analysis. (English) Zbl 1435.74021

Summary: In this paper, an inverse problem is developed to identify the fluid velocity and mass ratio of a piezoelectric nanotube conveying fluid flow. The natural frequencies of a piezoelectric nanotube are measured through a model-based approach and used to predict those unknown parameters. The numerical Levenberg-Marquardt and artificial neural network methods are employed as inverse tools for this purpose. The Eringen’s nonlocal elasticity theory with a combination of the Euler-Bernoulli beam theory is used to derive the governing equation of motion. The well-known Galerkin method is applied to extract the required natural frequencies. The presented inverse approaches are utilized for both noise-free and noisy data. The results show the high capability of the neural network approach in the identification of both fluid velocity and mass ratio of a piezoelectric nanotube, especially for noisy data.

MSC:

74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
76M21 Inverse problems in fluid mechanics
74M25 Micromechanics of solids
Full Text: DOI

References:

[1] Iijima, S., Helical microtubules of graphitic carbon, Nature, 354, 6348, 56 (1991)
[2] Whitby, M.; Quirke, N., Fluid flow in carbon nanotubes and nanopipes, Nat. Nanotechnol., 2, 2, 87 (2007)
[3] Mattia, D.; Gogotsi, Y., Static and dynamic behavior of liquids inside carbon nanotubes, Microfluidics Nanofluidics, 5, 3, 289-305 (2008)
[4] Rao, C.; Cheetham, A., Science and technology of nanomaterials: current status and future prospects, J. Mater. Chem., 11, 12, 2887-2894 (2001)
[5] Chien, Wt; Chen, Cs; Chen, Hh, Resonant frequency analysis of fixed-free single-walled carbon nanotube-based mass sensor, Sens. Actuators A Phys., 126, 1, 117-121 (2006)
[6] Chang, W-J; Lee, H-L, Free vibration of a single-walled carbon nanotube containing a fluid flow using the Timoshenko beam model, Phys. Lett. A, 373, 10, 982-985 (2009) · Zbl 1236.74101
[7] Kamarian, S., Free vibration analysis of conical shells reinforced with agglomerated carbon nanotubes, Int. J. Mech. Sci., 108, 157-165 (2016)
[8] Hosseini, M.; Maryam, Azb; Bahaadini, R., Forced vibrations of fluid-conveyed double piezoelectric functionally graded micropipes subjected to moving load, Microfluidics Nanofluidics, 21, 8, 134 (2017)
[9] Zhang, Y-W, Quantum effects on thermal vibration of single-walled carbon nanotubes conveying fluid, Acta Mech. Solida Sin., 30, 5, 550-556 (2017)
[10] Yang, Y.; Wang, J.; Yu, Y., Wave propagation in fluid-filled single-walled carbon nanotube based on the nonlocal strain gradient theory, Acta Mech. Solida Sin., 31, 4, 484-492 (2018)
[11] Ibrahim, R., Overview of mechanics of pipes conveying fluids—part I: fundamental studies, J. Press. Vessel Technol., 132, 3, 034001 (2010)
[12] Tounsi, A., Effect of small size on wave propagation in double-walled carbon nanotubes under temperature field, J. Appl. Phys., 104, 10, 104301 (2008)
[13] Malekzadeh, P.; Shojaee, M., A two-variable first-order shear deformation theory coupled with surface and nonlocal effects for free vibration of nanoplates, J. Vib. Control, 21, 14, 2755-2772 (2015)
[14] Kaviani, F.; Mirdamadi, Hr, Wave propagation analysis of carbon nano-tube conveying fluid including slip boundary condition and strain/inertial gradient theory, Comput. Struct., 116, 75-87 (2013)
[15] Yang, F., Couple stress based strain gradient theory for elasticity, Int. J. Solids Struct., 39, 10, 2731-2743 (2002) · Zbl 1037.74006
[16] Lam, Dc, Experiments and theory in strain gradient elasticity, J. Mech. Phys. Solids, 51, 8, 1477-1508 (2003) · Zbl 1077.74517
[17] Eringen, Ac, Nonlocal polar elastic continua, Int. J. Eng. Sci., 10, 1, 1-16 (1972) · Zbl 0229.73006
[18] Barretta, R.; De Sciarra, Fm; Diaco, M., Small-scale effects in nanorods, Acta Mech., 225, 7, 1945-1953 (2014) · Zbl 1401.74166
[19] Ansari, R.; Sahmani, S., Small scale effect on vibrational response of single-walled carbon nanotubes with different boundary conditions based on nonlocal beam models, Commun. Nonlinear Sci. Numer. Simul., 17, 4, 1965-1979 (2012)
[20] Wang, L., Vibration analysis of fluid-conveying nanotubes with consideration of surface effects, Phys. E Low-Dimens. Syst. Nanostruct., 43, 1, 437-439 (2010)
[21] Shen, Z-B, Nonlocal Timoshenko beam theory for vibration of carbon nanotube-based biosensor, Phys. E Low-Dimens. Syst. Nanostruct., 44, 7-8, 1169-1175 (2012)
[22] Hosseini, M.; Bahaadini, R.; Jamali, B., Nonlocal instability of cantilever piezoelectric carbon nanotubes by considering surface effects subjected to axial flow, J. Vib. Control, 24, 9, 1809-1825 (2018)
[23] Arash, B.; Wang, Q., A review on the application of nonlocal elastic models in modeling of carbon nanotubes and graphenes, Comput. Mater. Sci., 51, 1, 303-313 (2012)
[24] Mirramezani, M.; Mirdamadi, Hr, Effects of nonlocal elasticity and Knudsen number on fluid-structure interaction in carbon nanotube conveying fluid, Phys. E Low-Dimens. Syst. Nanostruct., 44, 10, 2005-2015 (2012)
[25] Sadeghi-Goughari, M.; Hosseini, M., The effects of non-uniform flow velocity on vibrations of single-walled carbon nanotube conveying fluid, J. Mech. Sci. Technol., 29, 2, 723-732 (2015)
[26] Bahaadini, R.; Hosseini, M., Effects of nonlocal elasticity and slip condition on vibration and stability analysis of viscoelastic cantilever carbon nanotubes conveying fluid, Comput. Mater. Sci., 114, 151-159 (2016)
[27] Fereidoon, A.; Andalib, E.; Mirafzal, A., Nonlinear vibration of viscoelastic embedded-DWCNTs integrated with piezoelectric layers-conveying viscous fluid considering surface effects, Phys. E Low-Dimens. Syst. Nanostruct., 81, 205-218 (2016)
[28] Bahaadini, R.; Hosseini, M.; Jamali, B., Flutter and divergence instability of supported piezoelectric nanotubes conveying fluid, Phys. B Condens. Matter, 529, 57-65 (2018)
[29] Ghazavi, M.; Molki, H., Nonlinear analysis of the micro/nanotube conveying fluid based on second strain gradient theory, Appl. Math. Model., 60, 77-93 (2018) · Zbl 1480.76045
[30] Ghayesh, Mh; Farokhi, H.; Farajpour, A., Global dynamics of fluid conveying nanotubes, Int. J. Eng. Sci., 135, 37-57 (2019) · Zbl 1423.76469
[31] Askari, H.; Esmailzadeh, E., Forced vibration of fluid conveying carbon nanotubes considering thermal effect and nonlinear foundations, Compos. Part B Eng., 113, 31-43 (2017)
[32] Hossain, Ms, Artificial neural networks for vibration based inverse parametric identifications: a review, Appl. Soft Comput., 52, 203-219 (2017)
[33] Samanta, B.; Al-Balushi, K.; Al-Araimi, S., Artificial neural networks and support vector machines with genetic algorithm for bearing fault detection, Eng. Appl. Artif. Intell., 16, 7-8, 657-665 (2003)
[34] Liu, Y-Y, Structure damage diagnosis using neural network and feature fusion, Eng. Appl. Artif. Intell., 24, 1, 87-92 (2011)
[35] Nematollahi, M., Crack detection in beam-like structures using a wavelet-based neural network, Proc. Inst. Mech. Eng. Part G J. Aerosp. Eng., 226, 10, 1243-1254 (2012)
[36] Worden, K.; Staszewski, W., Impact location and quantification on a composite panel using neural networks and a genetic algorithm, Strain, 36, 2, 61-68 (2000)
[37] Sharif-Khodaei, Z.; Ghajari, M.; Aliabadi, M., Determination of impact location on composite stiffened panels, Smart Mater. Struct., 21, 10, 105026 (2012)
[38] Liu, G.; Lam, K.; Han, X., Determination of elastic constants of anisotropic laminated plates using elastic waves and a progressive neural network, J. Sound Vib., 252, 2, 239-259 (2002)
[39] Özkaya, E.; Öz, H., Determination of natural frequencies and stability regions of axially moving beams using artificial neural networks method, J. Sound Vib., 4, 252, 782-789 (2002)
[40] Fakhrabadi, Mms, Vibrational analysis of carbon nanotubes using molecular mechanics and artificial neural network, Phys. E Low-Dimens. Syst. Nanostruct., 44, 3, 565-578 (2011)
[41] Wang, L., Vibration and instability analysis of tubular nano-and micro-beams conveying fluid using nonlocal elastic theory, Phys. E Low-Dimens. Syst. Nanostruct., 41, 10, 1835-1840 (2009)
[42] Rashidi, V.; Mirdamadi, Hr; Shirani, E., A novel model for vibrations of nanotubes conveying nanoflow, Comput. Mater. Sci., 51, 1, 347-352 (2012)
[43] Bahaadini, R.; Hosseini, M., Nonlocal divergence and flutter instability analysis of embedded fluid-conveying carbon nanotube under magnetic field, Microfluidics Nanofluidics, 20, 7, 1-14 (2016)
[44] Ghazizadeh, Hr; Azimi, A.; Maerefat, M., An inverse problem to estimate relaxation parameter and order of fractionality in fractional single-phaselag heat equation, Int. J. Heat. Mass. Transf., 55, 7-8, 2095-2101 (2012)
[45] Hansen, Pc, Analysis of discrete ill-posed problems by means of the L-curve, SIAM Rev., 34, 4, 561-580 (1992) · Zbl 0770.65026
[46] Alifanov, O., Solution of an inverse problem of heat conduction by iteration methods, J. Eng. Phys. Thermophys., 26, 4, 471-476 (1974)
[47] Zurada, Jm, Introduction to Artificial Neural Systems (1992), St. Paul: West Publishing Company, St. Paul
[48] Maren, Aj; Harston, Ct; Pap, Rm, Handbook of Neural Computing Applications (2014), New York: Academic Press, New York
[49] Hertz, Ja, Introduction to the Theory of Neural Computation (2018), Boca Raton: CRC Press, Boca Raton
[50] Huang, C-H; Jan-Yuan, Y., An inverse problem in simultaneously measuring temperature-dependent thermal conductivity and heat capacity, Int. J. Heat Mass Transf., 38, 18, 3433-3441 (1995)
[51] Kazemi, M.; Hematiyan, M., An efficient inverse method for identification of the location and time history of an elastic impact load, J. Test. Eval., 37, 6, 545-555 (2009)
[52] Nematollahi, M.; Hematiyan, M.; Farid, M., A two-stage inverse method for the evaluation of volume fraction distributions in 2D and 3D functionally graded materials, Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci., 225, 7, 1550-1564 (2011)
[53] Sun, S-C, Improved social spider optimization algorithms for solving inverse radiation and coupled radiation-conduction heat transfer problems, Int. Commun. Heat Mass Transf., 87, 132-146 (2017)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.